Finding the Third Proportional to 41,746 and 64,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,746 : 64,648.50 = 64,648.50 : x
2. Step 2: Convert to fraction form
   41,746/64,648.50 = 64,648.50/x
3. Step 3: Cross multiply
   41,746x = 64,648.50 × 64,648.50
4. Step 4: Simplify right side
   41,746x = 4,179,428,552.25
5. Step 5: Solve for x
   x = 4,179,428,552.25/41,746
6. Step 6: Final answer
   x = 100,115.67